Average Error: 0.2 → 0.2
Time: 34.2s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{1}{\frac{v}{\left(1 - m\right) \cdot m}} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
m \cdot \left(\frac{1}{\frac{v}{\left(1 - m\right) \cdot m}} - 1\right)
double f(double m, double v) {
        double r1138027 = m;
        double r1138028 = 1.0;
        double r1138029 = r1138028 - r1138027;
        double r1138030 = r1138027 * r1138029;
        double r1138031 = v;
        double r1138032 = r1138030 / r1138031;
        double r1138033 = r1138032 - r1138028;
        double r1138034 = r1138033 * r1138027;
        return r1138034;
}
↓
double f(double m, double v) {
        double r1138035 = m;
        double r1138036 = 1.0;
        double r1138037 = v;
        double r1138038 = 1.0;
        double r1138039 = r1138038 - r1138035;
        double r1138040 = r1138039 * r1138035;
        double r1138041 = r1138037 / r1138040;
        double r1138042 = r1138036 / r1138041;
        double r1138043 = r1138042 - r1138038;
        double r1138044 = r1138035 * r1138043;
        return r1138044;
}

Error

Bits error versus m

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
  2. Using strategy rm

  3. Applied clear-num0.2

    \[\leadsto \left(\color{blue}{\frac{1}{\frac{v}{m \cdot \left(1 - m\right)}}} - 1\right) \cdot m\]

  4. Final simplification0.2

    \[\leadsto m \cdot \left(\frac{1}{\frac{v}{\left(1 - m\right) \cdot m}} - 1\right)\]

Reproduce

herbie shell --seed 2019168 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) m))